which is known to be a closed convex cone in \(\mathbb { C}^{n}\)  with non-empty
interior. In practice, however, \(V( z)\)  is massively dimensionally
degenerate, shaped very much like a needle or a sword. Even for modest values
of \(n\)  the smallest thickness of \(V( z)\)  is well below double precision
floating point arithmetic. The proposed algorithm harnesses this dimensional
degeneracy and turns it from a curse into a blessing. The algorithm produces
not only the solution \(f\in \mathfrak {S}\)  of (REF ), but also shows
the uncertainty associated with the given data (see
Figure REF ). Typical for analytic continuation problems the
uncertainty balloons and explodes once one goes outside of the frequency range
containing the measurements [1]}, [2]}, [3]}, [4]}, [5]}
(see Figure REF ).
